45960264 has 128 divisors (see below), whose sum is σ = 147744000. Its totient is φ = 12966912.

The previous prime is 45960263. The next prime is 45960269. The reversal of 45960264 is 46206954.

45960264 is a `hidden beast` number, since 4 + 596 + 0 + 2 + 64 = 666.

It is a super-2 number, since 2×45960264² = 4224691733899392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45960263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170722 + ... + 170990.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^45960264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45960264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872000).

45960264 is an abundant number, since it is smaller than the sum of its proper divisors (101783736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45960264 is a wasteful number, since it uses less digits than its factorization.

45960264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45960264 is about 6779.3999734490. The cubic root of 45960264 is about 358.2015863727.

The spelling of 45960264 in words is "forty-five million, nine hundred sixty thousand, two hundred sixty-four".